Question

A dealer bought 200 watches for 800 each. he sells 20 of them at a gain of 5% .at whatprice per wstch must he sell the remaining watches so as gain 40% on whole ?

Answer 1

Answer:

Let the selling price of 20 articles be Rs.x.

Cost of 100 articles =Rs.4000

Therefore,

Cost price of 1 articles =1004000=Rs.40

Given that Ravish sold 20 articles at a gain of 5%.

Cost of 20 articles =1004000×20=Rs.800

Let the selling price of 20 articles be Rs.x.

Therefore,

x=800+5% of 800

x=800+1005×800

⇒x=800+40=840

Now to get 20% gain on whole transaction,

Selling price of all the articles should be 120% of cost price.

Let the selling price of all the articles be Rs.y

Therefore,

y=4000+20% of 4000

y=4000+10020×4000

⇒y=4000+800=4800

Now,

Selling price of 80 articles =4800−840=Rs.3960

Cost price of 80 articles =40×80=Rs.3200

Gain =3960−3200=Rs.760

Therefore,

Gain % on 80 articles =3200760×100=23.75%

Hence Ravish must sell the remaining articles at 23.75% gain.

May this answer help u guys..!